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QUESTION
For my project, I am trying to find a solution to a single value that will summarise the total degree of clustering in a landscape. My idea is to use the area under the curve between the Kiso value and the estimated Kpois to summarise the amount of clustering in a landscape. So using spatstat I first generate a landscape using the Matern Cluster Process.
...ANSWER
Answered 2020-Dec-02 at 00:32Short answer:
QUESTION
I have a problem with MySQL query. I have a big query that selects from multiple tables and it works just fine. I would like to edit one small part of it.
This is the small part that I want to edit. This part works fine but I would like to add another if statement to it.
...ANSWER
Answered 2020-Jul-09 at 12:53EDIT 1: Changed the query to match the bracket count but still no success.
After pretty formatting the problem becomes visible:
QUESTION
I have a set of one-dimensional data points (locations on a segment), and I would like to test for Complete Spatial randomness. I was planning to run Gest (nearest neighbor), Fest (empty space) and Kest (pairwise distances) functions on it.
I am not sure how I should import my data set though. I can use ppp by setting a second dimension to 0, e.g.:
...ANSWER
Answered 2020-Feb-14 at 23:05It will be wrong to simply let y=0 for all your points and then proceed as if you had a point pattern in two dimensions. Your suggestion of using lpp
is good. Regarding how to define the linnet
and lpp
try to look at my answer here.
I have considered making a small package to handle one dimensional patterns more easily in spatstat
, but so far I have only started the package with a single function to make the definition of the appropriate lpp
easier. If you feel adventurous you can install it from the GitHub repo via the remotes
package:
QUESTION
In the help file for the Kest function in spatstat there is a warning section stating:
"The estimator of K(r) is approximately unbiased for each fixed r. Bias increases with r and depends on the window geometry. For a rectangular window it is prudent to restrict the r values to a maximum of 1/4 of the smaller side length of the rectangle. Bias may become appreciable for point patterns consisting of fewer than 15 points."
I would like to know in what sense the estimator of K(r) becomes biased with increasing r and for point patterns with fewer than 15 points?
Any advice on this matter would be greatly appreciated!
I have read the book "Spatial point patterns" (Baddeley et al., 2015) but I can't seem to find the answer there (or in any other literature). I may of course have missed that section of the book, if so please let me know.
...ANSWER
Answered 2020-Feb-05 at 21:57I don't know the historical facts about where n=15 comes from, but this is probably related to the fact that the estimate of K(r) is only ratio-unbiased. Typically what we can estimate directly is X(r) = lambda^2*K(r) where lambda is the the true intensity of the process. Then we use the estimate of this quantity, X_est(r) say, together with an estimate of lambda^2, lambda^2_est say, and then estimate K(r) as K_est(r) = X_est(r) / lambda^2_est. Thus the numerator and denominator are unbiased estimates of the right things, but the ratio isn't. The problem is worst when lambda^2 is poorly estimated, i.e., when we have few data points.
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